EE was Early Entry.
MM is the new EE, now called Magic Mornings. They changed Monday to Sunday, but other than that, it means you get into
Disneyland an hour earlier than opening. Sat, Sun, Tues and...Thursday, maybe? (I'm sure on Sat and Sun)
The ToonTown event your'e thinking about is MTTMM, Mickey's ToonTown Morning Madness.
This is a voucher-needed event where TT opens one hour before normal TT opening. That means it opens at normal Disneyland opening time. It also happens 4 days a week, some overlap with MM, some don't.
If you buy a package vacation, you will most likely get vouchers for this (not if you buy through getawaytoday, however, and maybe others) for everyone 3 and over covered by your package.
TT opens at Disneyland opening, and after they allow time for people to get back there, they have a tiny parade, a little song and dance number hosted by the deputy mayor of TT and then they bring out Mayor Mickey. The "family of the day" for TT, a family chosen in the span of time between TT opening that day and the event starting, goes up on stage, introduces themselves, and gets a scroll signed by Mickey...and that's the extent of my knowledge of MTTMM b/c right after we (family of the day) said that we were from western WA, the clouds opened up and everyone ran for cover. Cover being Mickey's house, where all the characters ran for as well.
It's fun, but I'm not sure I would need to do it again (unless we have more kids who would want to see it).